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Question: The statement, " The sum of an odd integer and an even integer is an odd integer", is:


A ) True
B ) False

Steps to derive

1 Let a be an odd integer and b be an even integer.

2 Then a = 2 n + 1 and b = 2 m.

3 a + b = (2 n + 1) + 2 m

4 a + b = 2 n + 2 m + 1

5 a + b = 2 (n + m) + 1

6 This implies that a + b is odd.

7 Therefore, the sum of an odd and even integers is an odd integer is true.



Hence the right answer is Option A

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